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Stephen bought some peaches and crumbles to make peach cobbler. Peaches costs $1.80 per pound, and crumbles cost $2.50 per pound. Stephen spent a total of $19.40.
Part 1. Create an equation that can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased. Remember to define any variables used.
Part 2. Use the equation created in Part 1 to determine how many pounds of crumbles Stephen purchased if he purchased 8 pounds of peaches. You must show all steps to receive credit.
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Answer :

The equation which can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased is 1.8x+2.5y=19.4 and if Stephen purchased 8 pounds of peaches then he also purchased 2 pounds of crumbles.

Given that the cost of peaches is $1.80 per pound and cost of crumbles is $2.50 per pound and the total expenditure done by Stephen is $19.40.

We are required to find the equation that can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased and find the number of crumbles that Stephen purchased if he had 8 pounds of peaches.

Suppose the number of pounds of peaches be x and the number of crumbles be y.

The equation will be as under:

x*1.80+y*2.50=19.40

1.80x+2.50y=19.40---------1

Put the value of x=8 to find the number of crumbles.

1.8 *8+2.50y=19.40

14.4+2.50y=19.40

2.50y=19.4-14.4

2.50y=5

y=5/2.5

y=50/25

y=2

Hence the equation which can be used to determine the number of pounds of peaches and crumbles that Stephen could have purchased is 1.8x+2.5y=19.4 and if Stephen purchased 8 pounds of peaches then he also purchased 2 pounds of crumbles.

Learn more about equation at https://brainly.com/question/2972832

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